Critical nonlinearities at the boundary
| dc.contributor.author | Arrieta Algarra, José María | |
| dc.contributor.author | Carvalho, Alexandre N. | |
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.date.accessioned | 2023-06-20T17:08:47Z | |
| dc.date.available | 2023-06-20T17:08:47Z | |
| dc.date.issued | 1998-08 | |
| dc.description.abstract | We prove existence, uniqueness and regularity of solutions for heat equations with nonlinear boundary conditions. We study these problems with initial data in L-q(Ohm), W-1,W-q(Ohm), 1 < q < infinity, or measures and with critically growing nonlinearities. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | CNPq -Ministry of Science and Technology - Brazil | |
| dc.description.sponsorship | Universidad Complutense de Madrid (Sabatical Position) | |
| dc.description.sponsorship | DGES | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17924 | |
| dc.identifier.doi | 10.1016/S0764-4442(99)80047-0 | |
| dc.identifier.issn | 0764-4442 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0764444299800470 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57841 | |
| dc.issue.number | 4 | |
| dc.journal.title | Comptes Rendus de l'Académie des Sciences. Série I. Mathématique | |
| dc.language.iso | eng | |
| dc.page.final | 358 | |
| dc.page.initial | 353 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | #300.389/92-5 | |
| dc.relation.projectID | PB96-0648 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.986 | |
| dc.subject.ucm | Funciones (Matemáticas) | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Critical nonlinearities at the boundary | |
| dc.type | journal article | |
| dc.volume.number | 327 | |
| dcterms.references | Alikakos N.D., Regularity and Asymptotic Behavior for the Second Order Parabolic Equation with Nonlinear Boundary Conditions in LP, J. Differ. Eq. 39 (1981) 311-344. Amann H., Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems, in: Function Spaces, Differential Operators and Nonlinear Analysis, Schmeisser, Triebel (Eds.) , Teubner Texte zur Mathematik 133, 1993. pp. 9-126. Amann H., Linear and Quasilinear Parabolic Problems, Abstract Linear Theory, Birkliuser Verlag, 1995. Arrieta J., Carvalho A.N., Abstract Parabolic Problems with Critical Nonlinearities and Appplications to Navier-Stokes and Heat Equations, Trans . Amer. Math . Soc . (1998) (to appear) . Brezis H., Problernes unilateraux, J. Math. Pure Appl. 51 (1972) 1-68. Brezis H., Cazenave T., A nonlinear heat equation with singular initial data, 1. Anal. Math. 68 (\996) 277-304. Brezis H., Friedman A., Nonlinear Parabolic Equations Involving Measures as Initial Conditions, J. Math. Pures et Appl. 62 (1983) 73-97. Carvalho A.N., Oliva S.M., Pereira A.L.. Rodriguez-Bernal A., Attractors for Parabolic Problems with Nonlinear Boundary Conditions, J. Math. Anal. Appl. 207 (\997) 409-461. Evans L., Regularity Properties of the Heat Equation subject to Nonlinear Boundary Constraints, Nonlin. Anal. Th. Meth. Appl. I (1997) 593-602. Henry D., Geometric theory of semilinear parabolic equations, Lect. Notes in Math. 840, Springer-Verlag. Berlin. 1981. Tribel H., Interpolation Theory, Function Spaces. Differential Operators, North-Holland, 1978. Trudinger N.S., On Imbeddings into Orlicz spaces and some applications. J. Math. Mech. 17 (\967) 473-483. Weisler F.B., Local existence and nonexistence for semilinear parabolic equat ions in V', Indiana U. Math. J. 29 (1980) 79-102. | |
| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 | |
| relation.isAuthorOfPublication.latestForDiscovery | 2f8ee04e-dfcb-4000-a2ae-18047c5f0f4a |
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